The use of general purpose graphics processors for the numerical solution of problems in dynamics of viscous incompressible fluid is discussed. Specific features of the parallel implementation of the splitting scheme (projection method) are considered. The system of difference equations produced by the discretization of Poisson's equations for pressure is solved using the multigrid method. Anumber of benchmark problems are solved on graphics processors, and approaches to the optimization of program code by using different memory types are discussed. The speedup of computations on graphics processors is compared with the computations on the central processor using grids with different resolution and different decompositions of the initial data into blocks.

Original languageEnglish
Pages (from-to)136-149
Number of pages14
JournalComputational Mathematics and Mathematical Physics
Volume59
Issue number1
DOIs
StatePublished - 1 Jan 2019

    Scopus subject areas

  • Computational Mathematics

    Research areas

  • graphics processor, multigrid method, parallel algorithm, splitting scheme, viscous fluid

ID: 43316247